# Control of synchronization in two-layer power grids.

@article{Totz2020ControlOS, title={Control of synchronization in two-layer power grids.}, author={Carl H. Totz and Simona Olmi and Eckehard Sch{\"o}ll}, journal={Physical review. E}, year={2020}, volume={102 2-1}, pages={ 022311 } }

In this work we suggest modeling the dynamics of power grids in terms of a two-layer network, and we use the Italian high-voltage power grid as a proof-of-principle example. The first layer in our model represents the power grid consisting of generators and consumers, while the second layer represents a dynamic communication network that serves as a controller of the first layer. In particular, the dynamics of the power grid is modeled by the Kuramoto model with inertia, while the communication…

## 9 Citations

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## References

SHOWING 1-10 OF 87 REFERENCES

Effect of disorder and noise in shaping the dynamics of power grids

- PhysicsEPL (Europhysics Letters)
- 2018

The Kuramoto model with inertia is used to model the network of power plants and consumers and the synchronization transition of networks of phase oscillators with inertia whose natural frequencies are bimodally distributed corresponding to the distribution of generator and consumer power.

Enhancing power grid synchronization and stability through time-delayed feedback control.

- PhysicsPhysical review. E
- 2019

An extended version of the Kuramoto model with inertia is considered that includes the voltage dynamics, thus taking into account the interplay of amplitude and phase typical of the electrodynamical behavior of a machine.

Stability and control of power grids with diluted network topology.

- PhysicsChaos
- 2019

This work demonstrates by numerical simulations that unstable frequency-synchronized states can be stabilized by feedback control and extends the study to include stochastic temporal power fluctuations and discusses the interplay of topological disorder and Gaussian white noise for various model configurations.

Synchronization of dynamical networks with a communication infrastructure: A smart grid application

- Engineering52nd IEEE Conference on Decision and Control
- 2013

This work proposes a control strategy based on the information flow of the power system measurements and shows that there exists a strong relationship between both topologies in order to achieve synchronization.

Synchronization of power networks without and with communication infrastructures

- Mathematics2011 IEEE International Conference on Smart Grid Communications (SmartGridComm)
- 2011

The synchronization of power grid is studied by employing a simple model for the dynamics of generators. The interactions among generators and feedback control are represented by terms in the swing…

Taming instabilities in power grid networks by decentralized control

- Engineering
- 2016

The results indicate that if frequency measurements are averaged over sufficiently large time intervals, DSGC enhances the stability of extended power grid systems, and whether DSGC supports centralized and/or decentralized power production is investigated to find it to be applicable to both.

Control and prediction for blackouts caused by frequency collapse in smart grids.

- EngineeringChaos
- 2016

This work considers the blackout problem in power grids by considering a practical phase-oscillator model, and proposes two new control strategies based on this model, one for traditional power grids and another one for smart grids.

Self-organized synchronization and voltage stability in networks of synchronous machines

- EngineeringArXiv
- 2013

This work investigates power system stability from the viewpoint of self-organized synchronization aspects, and supplements the classical Kuramoto-like network model with dynamical voltage equations to obtain an extended model that incorporates the coupled categories voltage stability and rotor angle synchronization.

Analysis of a power grid using a Kuramoto-like model

- Physics, Mathematics
- 2008

Abstract.We show that there is a link between the Kuramoto paradigm and another system of synchronized oscillators, namely an electrical power distribution grid of generators and consumers. The…

Curing Braess’ paradox by secondary control in power grids

- PhysicsNew Journal of Physics
- 2018

It is demonstrated that sufficiently strong control not only implies dynamical stability of the system but may also cure Braess' paradox and highlight the importance of demand control in conjunction with grid topology for stable operation.